TSTP Solution File: LCL537+1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : LCL537+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:26:46 EDT 2024
% Result : Theorem 1.81s 0.68s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 39
% Syntax : Number of formulae : 179 ( 81 unt; 0 def)
% Number of atoms : 302 ( 40 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 210 ( 87 ~; 80 |; 2 &)
% ( 15 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 20 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 232 ( 230 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5430,plain,
$false,
inference(resolution,[],[f3030,f210]) ).
fof(f210,plain,
~ is_a_theorem(implies(not(necessarily(not(sK0))),necessarily(not(necessarily(not(sK0)))))),
inference(forward_demodulation,[],[f209,f204]) ).
fof(f204,plain,
! [X0] : possibly(X0) = not(necessarily(not(X0))),
inference(subsumption_resolution,[],[f179,f178]) ).
fof(f178,plain,
op_possibly,
inference(cnf_transformation,[],[f77]) ).
fof(f77,axiom,
op_possibly,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f179,plain,
! [X0] :
( possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ! [X0] : possibly(X0) = not(necessarily(not(X0)))
| ~ op_possibly ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
( op_possibly
=> ! [X0] : possibly(X0) = not(necessarily(not(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f209,plain,
~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))),
inference(subsumption_resolution,[],[f183,f154]) ).
fof(f154,plain,
~ axiom_5,
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
~ axiom_5,
inference(flattening,[],[f84]) ).
fof(f84,negated_conjecture,
~ axiom_5,
inference(negated_conjecture,[],[f83]) ).
fof(f83,conjecture,
axiom_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f183,plain,
( axiom_5
| ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( axiom_5
| ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f130,f152]) ).
fof(f152,plain,
( ? [X0] : ~ is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
=> ~ is_a_theorem(implies(possibly(sK0),necessarily(possibly(sK0)))) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( axiom_5
| ? [X0] : ~ is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
( ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
=> axiom_5 ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f58,axiom,
( axiom_5
<=> ! [X0] : is_a_theorem(implies(possibly(X0),necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3030,plain,
! [X0] : is_a_theorem(implies(not(necessarily(X0)),necessarily(not(necessarily(X0))))),
inference(superposition,[],[f2443,f660]) ).
fof(f660,plain,
! [X0] : necessarily(X0) = necessarily(necessarily(X0)),
inference(subsumption_resolution,[],[f608,f211]) ).
fof(f211,plain,
! [X0] : is_a_theorem(implies(necessarily(X0),X0)),
inference(subsumption_resolution,[],[f184,f157]) ).
fof(f157,plain,
axiom_M,
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f184,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
( axiom_M
=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f55,axiom,
( axiom_M
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f608,plain,
! [X0] :
( ~ is_a_theorem(implies(necessarily(necessarily(X0)),necessarily(X0)))
| necessarily(X0) = necessarily(necessarily(X0)) ),
inference(resolution,[],[f299,f214]) ).
fof(f214,plain,
! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))),
inference(subsumption_resolution,[],[f186,f156]) ).
fof(f156,plain,
axiom_4,
inference(cnf_transformation,[],[f81]) ).
fof(f81,axiom,
axiom_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f186,plain,
! [X0] :
( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_4 ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
| ~ axiom_4 ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
( axiom_4
=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
inference(unused_predicate_definition_removal,[],[f56]) ).
fof(f56,axiom,
( axiom_4
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f299,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1))
| X0 = X1 ),
inference(resolution,[],[f235,f251]) ).
fof(f251,plain,
! [X0,X1] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f243,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(subsumption_resolution,[],[f201,f173]) ).
fof(f173,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f201,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| ~ modus_ponens ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) )
| ~ modus_ponens ),
inference(flattening,[],[f148]) ).
fof(f148,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f243,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,and(X1,X0)))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f236,f223]) ).
fof(f223,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(subsumption_resolution,[],[f193,f174]) ).
fof(f174,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f193,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f235,plain,
! [X0,X1] :
( ~ is_a_theorem(and(implies(X0,X1),implies(X1,X0)))
| X0 = X1 ),
inference(forward_demodulation,[],[f234,f208]) ).
fof(f208,plain,
! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
inference(subsumption_resolution,[],[f182,f176]) ).
fof(f176,plain,
op_equiv,
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
op_equiv,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f182,plain,
! [X0,X1] :
( equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))
| ~ op_equiv ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f234,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(subsumption_resolution,[],[f200,f160]) ).
fof(f160,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f200,plain,
! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1))
| ~ substitution_of_equivalents ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ! [X0,X1] :
( X0 = X1
| ~ is_a_theorem(equiv(X0,X1)) )
| ~ substitution_of_equivalents ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2443,plain,
! [X2] : is_a_theorem(implies(not(X2),necessarily(not(necessarily(X2))))),
inference(backward_demodulation,[],[f1655,f2438]) ).
fof(f2438,plain,
! [X2,X0,X1] : implies(implies(and(X0,X1),X0),X2) = X2,
inference(backward_demodulation,[],[f1654,f2362]) ).
fof(f2362,plain,
! [X0] : not(not(X0)) = X0,
inference(backward_demodulation,[],[f705,f2356]) ).
fof(f2356,plain,
! [X0] : implies(not(X0),X0) = X0,
inference(subsumption_resolution,[],[f2336,f217]) ).
fof(f217,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(forward_demodulation,[],[f216,f207]) ).
fof(f207,plain,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
inference(forward_demodulation,[],[f206,f205]) ).
fof(f205,plain,
! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))),
inference(subsumption_resolution,[],[f180,f177]) ).
fof(f177,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f180,plain,
! [X0,X1] :
( implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
( ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1)))
| ~ op_implies_and ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f206,plain,
! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))),
inference(subsumption_resolution,[],[f181,f175]) ).
fof(f175,plain,
op_or,
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
op_or,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f181,plain,
! [X0,X1] :
( or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
( ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1)))
| ~ op_or ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f216,plain,
! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))),
inference(subsumption_resolution,[],[f188,f166]) ).
fof(f166,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f188,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(ennf_transformation,[],[f111]) ).
fof(f111,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2336,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(X0),X0)))
| implies(not(X0),X0) = X0 ),
inference(resolution,[],[f2322,f299]) ).
fof(f2322,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(backward_demodulation,[],[f2255,f2305]) ).
fof(f2305,plain,
! [X0] : implies(implies(not(X0),X0),X0) = necessarily(implies(implies(not(X0),X0),X0)),
inference(resolution,[],[f2255,f1009]) ).
fof(f1009,plain,
! [X0] :
( ~ is_a_theorem(necessarily(X0))
| necessarily(X0) = X0 ),
inference(resolution,[],[f586,f211]) ).
fof(f586,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| X0 = X1
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f299,f242]) ).
fof(f242,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f236,f220]) ).
fof(f220,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(subsumption_resolution,[],[f190,f171]) ).
fof(f171,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f190,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2255,plain,
! [X0] : is_a_theorem(necessarily(implies(implies(not(X0),X0),X0))),
inference(resolution,[],[f797,f501]) ).
fof(f501,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[],[f239,f270]) ).
fof(f270,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f229,f236]) ).
fof(f229,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(subsumption_resolution,[],[f197,f170]) ).
fof(f170,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f197,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
( implies_2
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f239,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(implies(not(X0),X1),X2)))),
inference(forward_demodulation,[],[f238,f207]) ).
fof(f238,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))),
inference(subsumption_resolution,[],[f203,f164]) ).
fof(f164,plain,
or_3,
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f203,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
( or_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f797,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(necessarily(X0)) ),
inference(resolution,[],[f764,f305]) ).
fof(f305,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(X0))
| is_a_theorem(necessarily(X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f304,f236]) ).
fof(f304,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(X0),necessarily(X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f298,f215]) ).
fof(f215,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(subsumption_resolution,[],[f187,f159]) ).
fof(f159,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f187,plain,
! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0)
| ~ necessitation ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
( ! [X0] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) )
| ~ necessitation ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f298,plain,
! [X0,X1] :
( ~ is_a_theorem(necessarily(implies(X0,X1)))
| is_a_theorem(implies(necessarily(X0),necessarily(X1))) ),
inference(resolution,[],[f230,f236]) ).
fof(f230,plain,
! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))),
inference(subsumption_resolution,[],[f198,f158]) ).
fof(f158,plain,
axiom_K,
inference(cnf_transformation,[],[f79]) ).
fof(f79,axiom,
axiom_K,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f198,plain,
! [X0,X1] :
( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
| ~ axiom_K ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
( ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
| ~ axiom_K ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
( axiom_K
=> ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
inference(unused_predicate_definition_removal,[],[f54]) ).
fof(f54,axiom,
( axiom_K
<=> ! [X0,X1] : is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f764,plain,
! [X0] : is_a_theorem(necessarily(implies(X0,X0))),
inference(resolution,[],[f619,f282]) ).
fof(f282,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f270,f220]) ).
fof(f619,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(necessarily(implies(X0,X0))) ),
inference(backward_subsumption_demodulation,[],[f312,f615]) ).
fof(f615,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| and(X0,X1) = X1 ),
inference(subsumption_resolution,[],[f590,f221]) ).
fof(f221,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)),
inference(subsumption_resolution,[],[f191,f167]) ).
fof(f167,plain,
and_2,
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f191,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,plain,
( and_2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f590,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(and(X0,X1),X1))
| and(X0,X1) = X1
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f299,f243]) ).
fof(f312,plain,
! [X0,X1] :
( is_a_theorem(necessarily(implies(X0,and(X1,X0))))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f306,f223]) ).
fof(f306,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f305,f215]) ).
fof(f705,plain,
! [X0] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[],[f205,f640]) ).
fof(f640,plain,
! [X0] : and(X0,X0) = X0,
inference(subsumption_resolution,[],[f591,f221]) ).
fof(f591,plain,
! [X0] :
( ~ is_a_theorem(implies(and(X0,X0),X0))
| and(X0,X0) = X0 ),
inference(resolution,[],[f299,f283]) ).
fof(f283,plain,
! [X0] : is_a_theorem(implies(X0,and(X0,X0))),
inference(resolution,[],[f270,f223]) ).
fof(f1654,plain,
! [X2,X0,X1] : not(not(X2)) = implies(implies(and(X0,X1),X0),X2),
inference(superposition,[],[f205,f745]) ).
fof(f745,plain,
! [X2,X0,X1] : and(implies(and(X0,X1),X0),X2) = X2,
inference(resolution,[],[f615,f222]) ).
fof(f222,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)),
inference(subsumption_resolution,[],[f192,f168]) ).
fof(f168,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f192,plain,
! [X0,X1] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1655,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X2),necessarily(not(necessarily(implies(implies(and(X0,X1),X0),X2)))))),
inference(superposition,[],[f259,f745]) ).
fof(f259,plain,
! [X0,X1] : is_a_theorem(implies(and(X0,not(X1)),necessarily(not(necessarily(implies(X0,X1)))))),
inference(superposition,[],[f213,f205]) ).
fof(f213,plain,
! [X0] : is_a_theorem(implies(X0,necessarily(not(necessarily(not(X0)))))),
inference(forward_demodulation,[],[f212,f204]) ).
fof(f212,plain,
! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))),
inference(subsumption_resolution,[],[f185,f155]) ).
fof(f155,plain,
axiom_B,
inference(cnf_transformation,[],[f82]) ).
fof(f82,axiom,
axiom_B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f185,plain,
! [X0] :
( is_a_theorem(implies(X0,necessarily(possibly(X0))))
| ~ axiom_B ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0))))
| ~ axiom_B ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
( axiom_B
=> ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
inference(unused_predicate_definition_removal,[],[f57]) ).
fof(f57,axiom,
( axiom_B
<=> ! [X0] : is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL537+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jun 22 18:50:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (6651)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.20/0.42 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (6655)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.20/0.42 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (6653)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.42 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (6650)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.20/0.42 % (6653)Refutation not found, incomplete strategy% (6653)------------------------------
% 0.20/0.42 % (6653)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (6653)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (6653)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (6652)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.20/0.42 % (6655)Refutation not found, incomplete strategy% (6655)------------------------------
% 0.20/0.42 % (6655)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (6654)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.20/0.42 % (6655)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (6655)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (6655)Memory used [KB]: 1189
% 0.20/0.42 % (6655)Time elapsed: 0.002 s
% 0.20/0.42 % (6655)Instructions burned: 2 (million)
% 0.20/0.42
% 0.20/0.42 % (6653)Memory used [KB]: 1188
% 0.20/0.42 % (6653)Time elapsed: 0.003 s
% 0.20/0.42 % (6653)Instructions burned: 1 (million)
% 0.20/0.42 % (6655)------------------------------
% 0.20/0.42 % (6655)------------------------------
% 0.20/0.42 % (6653)------------------------------
% 0.20/0.42 % (6653)------------------------------
% 0.20/0.42 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (6656)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.20/0.42 % (6656)Refutation not found, incomplete strategy% (6656)------------------------------
% 0.20/0.42 % (6656)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.42 % (6656)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.42 % (6656)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42 % (6656)Memory used [KB]: 1208
% 0.20/0.42 % (6656)Time elapsed: 0.005 s
% 0.20/0.42 % (6656)Instructions burned: 5 (million)
% 0.20/0.43 % (6656)------------------------------
% 0.20/0.43 % (6656)------------------------------
% 0.20/0.48 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (6658)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2999ds/205Mi)
% 0.20/0.48 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.48 % (6657)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.20/0.48 % (6658)Refutation not found, incomplete strategy% (6658)------------------------------
% 0.20/0.48 % (6658)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (6658)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (6658)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (6658)Memory used [KB]: 1188
% 0.20/0.48 % (6658)Time elapsed: 0.002 s
% 0.20/0.48 % (6658)Instructions burned: 1 (million)
% 0.20/0.48 % (6657)Refutation not found, incomplete strategy% (6657)------------------------------
% 0.20/0.48 % (6657)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (6657)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (6657)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48 % (6657)Memory used [KB]: 1189
% 0.20/0.48 % (6657)Time elapsed: 0.003 s
% 0.20/0.48 % (6657)Instructions burned: 2 (million)
% 0.20/0.48 % (6658)------------------------------
% 0.20/0.48 % (6658)------------------------------
% 0.20/0.48 % (6657)------------------------------
% 0.20/0.48 % (6657)------------------------------
% 0.20/0.49 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (6659)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2999ds/180Mi)
% 0.20/0.49 % (6654)Instruction limit reached!
% 0.20/0.49 % (6654)------------------------------
% 0.20/0.49 % (6654)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (6654)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (6654)Termination reason: Time limit
% 0.20/0.49 % (6654)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (6654)Memory used [KB]: 2988
% 0.20/0.49 % (6654)Time elapsed: 0.073 s
% 0.20/0.49 % (6654)Instructions burned: 121 (million)
% 0.20/0.52 % (6649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (6660)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 0.20/0.52 % (6660)Refutation not found, incomplete strategy% (6660)------------------------------
% 0.20/0.52 % (6660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.52 % (6660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.52 % (6660)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (6660)Memory used [KB]: 1188
% 0.20/0.52 % (6660)Time elapsed: 0.002 s
% 0.20/0.52 % (6660)Instructions burned: 2 (million)
% 0.20/0.52 % (6660)------------------------------
% 0.20/0.52 % (6660)------------------------------
% 1.21/0.52 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.21/0.52 % (6661)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 1.21/0.52 % (6661)Refutation not found, incomplete strategy% (6661)------------------------------
% 1.21/0.52 % (6661)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.21/0.52 % (6661)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.21/0.52 % (6661)Termination reason: Refutation not found, incomplete strategy
% 1.21/0.52
% 1.21/0.52 % (6661)Memory used [KB]: 1210
% 1.21/0.52 % (6661)Time elapsed: 0.002 s
% 1.21/0.52 % (6661)Instructions burned: 3 (million)
% 1.21/0.52 % (6661)------------------------------
% 1.21/0.52 % (6661)------------------------------
% 1.21/0.53 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.21/0.53 % (6662)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2998ds/113Mi)
% 1.33/0.55 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.55 % (6663)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2998ds/114Mi)
% 1.33/0.55 % (6663)Refutation not found, incomplete strategy% (6663)------------------------------
% 1.33/0.55 % (6663)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.55 % (6663)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.55 % (6663)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.55
% 1.33/0.55 % (6663)Memory used [KB]: 1217
% 1.33/0.55 % (6663)Time elapsed: 0.003 s
% 1.33/0.55 % (6663)Instructions burned: 5 (million)
% 1.33/0.55 % (6663)------------------------------
% 1.33/0.55 % (6663)------------------------------
% 1.33/0.56 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.56 % (6664)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2998ds/253Mi)
% 1.33/0.57 % (6662)Instruction limit reached!
% 1.33/0.57 % (6662)------------------------------
% 1.33/0.57 % (6662)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.57 % (6662)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.57 % (6662)Termination reason: Time limit
% 1.33/0.57 % (6662)Termination phase: Saturation
% 1.33/0.57
% 1.33/0.57 % (6662)Memory used [KB]: 2587
% 1.33/0.57 % (6662)Time elapsed: 0.040 s
% 1.33/0.57 % (6662)Instructions burned: 113 (million)
% 1.33/0.57 % (6659)Instruction limit reached!
% 1.33/0.57 % (6659)------------------------------
% 1.33/0.57 % (6659)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.57 % (6659)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.57 % (6659)Termination reason: Time limit
% 1.33/0.57 % (6659)Termination phase: Saturation
% 1.33/0.57
% 1.33/0.57 % (6659)Memory used [KB]: 4048
% 1.33/0.57 % (6659)Time elapsed: 0.105 s
% 1.33/0.57 % (6659)Instructions burned: 181 (million)
% 1.33/0.59 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.59 % (6665)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2998ds/150Mi)
% 1.33/0.59 % (6665)Refutation not found, incomplete strategy% (6665)------------------------------
% 1.33/0.59 % (6665)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.59 % (6665)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.59 % (6665)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.59
% 1.33/0.59 % (6665)Memory used [KB]: 1189
% 1.33/0.59 % (6665)Time elapsed: 0.002 s
% 1.33/0.59 % (6665)Instructions burned: 2 (million)
% 1.33/0.59 % (6665)------------------------------
% 1.33/0.59 % (6665)------------------------------
% 1.33/0.61 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.61 % (6666)lrs+1010_1:1_tgt=ground:fde=unused:sp=const_frequency:nwc=5.0:sac=on:avsq=on:i=196:avsqr=1,8:fsd=on:sil=64000:gs=on:rnwc=on_0 on theBenchmark for (2998ds/196Mi)
% 1.33/0.61 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.61 % (6667)lrs+1002_1:1_sil=4000:i=107:sd=2:ep=RS:av=off:ss=axioms:sos=on:erd=off_0 on theBenchmark for (2997ds/107Mi)
% 1.33/0.61 % (6667)Refutation not found, incomplete strategy% (6667)------------------------------
% 1.33/0.61 % (6667)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.61 % (6667)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.61 % (6667)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.61
% 1.33/0.61 % (6667)Memory used [KB]: 1189
% 1.33/0.61 % (6667)Time elapsed: 0.002 s
% 1.33/0.61 % (6667)Instructions burned: 1 (million)
% 1.33/0.61 % (6667)------------------------------
% 1.33/0.61 % (6667)------------------------------
% 1.33/0.62 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.33/0.62 % (6668)lrs+10_1:1024_sil=2000:st=2.0:i=107:sd=2:ss=included:ep=R_0 on theBenchmark for (2997ds/107Mi)
% 1.33/0.62 % (6668)Refutation not found, incomplete strategy% (6668)------------------------------
% 1.33/0.62 % (6668)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.33/0.62 % (6668)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.33/0.62 % (6668)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.63
% 1.33/0.63 % (6668)Memory used [KB]: 1188
% 1.33/0.63 % (6668)Time elapsed: 0.002 s
% 1.33/0.63 % (6668)Instructions burned: 2 (million)
% 1.33/0.63 % (6668)------------------------------
% 1.33/0.63 % (6668)------------------------------
% 1.81/0.64 % (6664)Instruction limit reached!
% 1.81/0.64 % (6664)------------------------------
% 1.81/0.64 % (6664)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.64 % (6664)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.64 % (6664)Termination reason: Time limit
% 1.81/0.64 % (6664)Termination phase: Saturation
% 1.81/0.64
% 1.81/0.64 % (6664)Memory used [KB]: 4930
% 1.81/0.64 % (6664)Time elapsed: 0.081 s
% 1.81/0.64 % (6664)Instructions burned: 254 (million)
% 1.81/0.65 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.65 % (6669)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=147:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2997ds/147Mi)
% 1.81/0.65 % (6669)Refutation not found, incomplete strategy% (6669)------------------------------
% 1.81/0.65 % (6669)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.65 % (6669)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.65 % (6669)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.65
% 1.81/0.65 % (6669)Memory used [KB]: 1189
% 1.81/0.65 % (6669)Time elapsed: 0.003 s
% 1.81/0.65 % (6669)Instructions burned: 1 (million)
% 1.81/0.65 % (6669)------------------------------
% 1.81/0.65 % (6669)------------------------------
% 1.81/0.66 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.66 % (6670)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=116:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2997ds/116Mi)
% 1.81/0.66 % (6670)Refutation not found, incomplete strategy% (6670)------------------------------
% 1.81/0.66 % (6670)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.66 % (6670)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.66 % (6670)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.66
% 1.81/0.66 % (6670)Memory used [KB]: 1189
% 1.81/0.66 % (6670)Time elapsed: 0.002 s
% 1.81/0.66 % (6670)Instructions burned: 1 (million)
% 1.81/0.66 % (6670)------------------------------
% 1.81/0.66 % (6670)------------------------------
% 1.81/0.67 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.67 % (6671)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=304:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2997ds/304Mi)
% 1.81/0.67 % (6671)Refutation not found, incomplete strategy% (6671)------------------------------
% 1.81/0.67 % (6671)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.67 % (6671)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.67 % (6671)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.67
% 1.81/0.67 % (6671)Memory used [KB]: 1189
% 1.81/0.67 % (6671)Time elapsed: 0.002 s
% 1.81/0.67 % (6671)Instructions burned: 2 (million)
% 1.81/0.67 % (6671)------------------------------
% 1.81/0.67 % (6671)------------------------------
% 1.81/0.67 % (6652)First to succeed.
% 1.81/0.68 % (6652)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6649"
% 1.81/0.68 % (6666)Instruction limit reached!
% 1.81/0.68 % (6666)------------------------------
% 1.81/0.68 % (6666)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.68 % (6666)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.68 % (6666)Termination reason: Time limit
% 1.81/0.68 % (6666)Termination phase: Saturation
% 1.81/0.68
% 1.81/0.68 % (6666)Memory used [KB]: 3533
% 1.81/0.68 % (6666)Time elapsed: 0.072 s
% 1.81/0.68 % (6666)Instructions burned: 197 (million)
% 1.81/0.68 % (6649)Running in auto input_syntax mode. Trying TPTP
% 1.81/0.68 % (6652)Refutation found. Thanks to Tanya!
% 1.81/0.68 % SZS status Theorem for theBenchmark
% 1.81/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.68 % (6652)------------------------------
% 1.81/0.68 % (6652)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.81/0.68 % (6652)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.81/0.68 % (6652)Termination reason: Refutation
% 1.81/0.68
% 1.81/0.68 % (6652)Memory used [KB]: 2984
% 1.81/0.68 % (6652)Time elapsed: 0.257 s
% 1.81/0.68 % (6652)Instructions burned: 702 (million)
% 1.81/0.68 % (6652)------------------------------
% 1.81/0.68 % (6652)------------------------------
% 1.81/0.68 % (6649)Success in time 0.319 s
%------------------------------------------------------------------------------